Homework Answers
Add Answer to:
A particle travels in the x-y plane. Its x and y coordinates are shown as a...
2. A particle moves in the x-y plane. Its coordinates are given as functions of time...
2. A particle moves in the x-y plane. Its coordinates are given as functions of time t(2 0) b x(t)-R(at-sina)t), )Sketch the trajectory of the particle. This is the trajectory of a point on the rim of a wheel y(t)-R(1-cosω t), where R and ω are constants. (a) (3 that is rolling at a constant speed on a horizontal surface. The curve traced out by such a point as it moves through space is called a cycloid. (b) (5 Find...
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration...
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration in the y-direction given as ay -3t ft/s2 and an x-position ofx 3t + 2 ft. When t0, yo3ft and Vo, -4ft/s. a) Derive expressions for x, vx, ax, V, Vy, ay as functions of time. b) At times t 0,1,2 seconds, calculate the magnitude of velocity and the angle it makes with the x-axis. c) At times t 0,1,2 seconds, calculate the magnitude...
A particle is constrained to move in the x - y plane. Its position as a...
A particle is constrained to move in the x - y plane. Its position as a function of time is given by x(t) = x_0 sin(w_xt) and y(t) = y_0 cos(w_yt). Find the force vector F on the particle. Under which condition is the force a central force (i.e., points in the vector r direction)? Find the potential energy for the general force that you found in part (a) (i.e., not necessarily central). Show that the particle's energy is conserved.
3. (10 total points) A particle travels along the intersection of (2) 1z=x+y (a) (2 points)...
3. (10 total points) A particle travels along the intersection of (2) 1z=x+y (a) (2 points) Write the path of particle as a vector might find cos2(t)+ sin? (t) = 1 useful. function r(t) =< x(t),y(t), z(t) > of t. Hint: you (b) (4 points) Find the equation of the tangent plane of z = x+y at (1,3). (c) (4 points) Find the tangent line of the particle path at the point (1,0,1).
3. (10 total points) A particle travels...
A force acting on a particle in the xy plane at coordinates (x, y) is given...
A force acting on a particle in the xy plane at coordinates (x, y) is given by vector F = (F_0/r) (y hat i - x hat j), where F_0 is a positive constant and r is the distance of the particle from the origin. Show that the magnitude of this force is F_0. Show that the direction of vector F is perpendicular to vector r = x hat i + y hat j.
A 3.05-kg object is moving in a plane, with its x and y coordinates given by...
A 3.05-kg object is moving in a plane, with its x and y coordinates given by x = 8t2 − 4 and y = 5t3 + 4, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 1.75 s.
A 3.10-kg object is moving in a plane, with its x and y coordinates given by...
A 3.10-kg object is moving in a plane, with its x and y coordinates given by x = 8t2 − 2 and y = 2t3 + 5, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 1.55 s.
A 2.55-kg object is moving in a plane, with its x and y coordinates given by...
A 2.55-kg object is moving in a plane, with its x and y coordinates given by x = 6t2 − 2 and y = 2t3 + 6, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 1.95 s. N
The coordinates of a bird flying in the xy-plane are given by x(t)=αt and y(t)=3.0m−βt2, where...
The coordinates of a bird flying in the xy-plane are given by x(t)=αt and y(t)=3.0m−βt2, where α=2.4m/s and β=1.2m/s2 1-Calculate the velocity vector of the bird as a function of time. Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3t and the y component is 4t, then you should enter 3t,4t. Express your answer using two significant figures for all coefficients 2-Calculate the acceleration vector of the...
A particle travels along the streamline defined by y^2 + 3 = 2x, where x and...
A particle travels along the streamline defined by y^2 + 3 = 2x, where x and y are in meters. If its speed is 4 m/s when it is at x = 2 m, y = 1 m, determine the x and y components of its velocity at this point. Sketch the velocity on the streamline.
2. A particle moves in the x-y plane. Its coordinates are given as functions of time t(2 0) b x(t)-R(at-sina)t), )Sketch the trajectory of the particle. This is the trajectory of a point on the rim of a wheel y(t)-R(1-cosω t), where R and ω are constants. (a) (3 that is rolling at a constant speed on a horizontal surface. The curve traced out by such a point as it moves through space is called a cycloid. (b) (5 Find...
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration in the y-direction given as ay -3t ft/s2 and an x-position ofx 3t + 2 ft. When t0, yo3ft and Vo, -4ft/s. a) Derive expressions for x, vx, ax, V, Vy, ay as functions of time. b) At times t 0,1,2 seconds, calculate the magnitude of velocity and the angle it makes with the x-axis. c) At times t 0,1,2 seconds, calculate the magnitude...
A particle is constrained to move in the x - y plane. Its position as a function of time is given by x(t) = x_0 sin(w_xt) and y(t) = y_0 cos(w_yt). Find the force vector F on the particle. Under which condition is the force a central force (i.e., points in the vector r direction)? Find the potential energy for the general force that you found in part (a) (i.e., not necessarily central). Show that the particle's energy is conserved.
3. (10 total points) A particle travels along the intersection of (2) 1z=x+y (a) (2 points) Write the path of particle as a vector might find cos2(t)+ sin? (t) = 1 useful. function r(t) =< x(t),y(t), z(t) > of t. Hint: you (b) (4 points) Find the equation of the tangent plane of z = x+y at (1,3). (c) (4 points) Find the tangent line of the particle path at the point (1,0,1).
3. (10 total points) A particle travels...
A force acting on a particle in the xy plane at coordinates (x, y) is given by vector F = (F_0/r) (y hat i - x hat j), where F_0 is a positive constant and r is the distance of the particle from the origin. Show that the magnitude of this force is F_0. Show that the direction of vector F is perpendicular to vector r = x hat i + y hat j.
Most questions answered within 3 hours.
-
Hello, regarding the photoelectric effect I had a couple
questions:
Red light is shining on a...
asked 7 minutes ago -
build a sample navigation Sprite in css ?
asked 6 minutes ago -
Please write a C# program for an concert sale with the
requirements below in Console Form:...
asked 8 minutes ago -
use linux follow instructions , put the commands at each step
and screenshot at each step...
asked 22 minutes ago -
Suppose producer’s production function let q(K, E) =
K0.5E0.5
Suppose producer’s cost function if w=w’ and...
asked 18 minutes ago -
Using the information given below for the fictitious country
"Alpha," find the national saving rate.
...
asked 9 minutes ago -
What is the advantage(s) of using iPS instead of ES cells for stem
cell therapies?
asked 18 minutes ago -
1. The return on assets
(ROA) for XYZ Hospital Systems Inc, below, for the year 20XX
was...
asked 21 minutes ago -
Chelsea, a vegan woman, has just found out she is pregnant. What
nutrient deficiencies are common...
asked 17 minutes ago -
1.
In the laws of optics experiment, a student measured the
intensity of a light source...
asked 25 minutes ago -
What is the length of a box in which the minimum energy of an
electron is...
asked 27 minutes ago -
A Government of Canada bond will pay $50 at the end of every six
months for...
asked 27 minutes ago